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Debt (Additional Information) (Detail) (USD $)
3 Months Ended 1 Months Ended
Apr. 03, 2015
Jan. 30, 2015
Oct. 31, 2014
Oct. 30, 2014
Debt Instrument [Line Items]        
Unsecured borrowing capacity     $ 500,000,000us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity $ 750,000,000us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
Extended maturity date of revolving credit facility Mar. 01, 2017      
Ratio of consolidated funded debt to EBITDA, numerator, maximum, until Jan 29, 2016 4ldos_RatioOfConsolidatedFundedDebtToEarningsBeforeInterestTaxesDepreciationAndAmortizationNumeratorMaximumUntilJanuaryTwentyNineTwentySixteen      
Ratio of consolidated funded debt to EBITDA, numerator, maximum 3.75ldos_RatioOfConsolidatedFundedDebtToEarningsBeforeInterestTaxesDepreciationAndAmortizationNumeratorMaximum      
Ratio of consolidated funded debt to EBITDA, denominator, maximum 1ldos_RatioOfConsolidatedFundedDebtToEarningsBeforeInterestTaxesDepreciationAndAmortizationDenominatorMaximum      
Minimum ratio of EBITDA to interest expense, numerator 3.5ldos_MinimumRatioOfEarningsBeforeInterestTaxesDepreciationAndAmortizationToInterestExpenseNumerator      
Minimum ratio of EBITDA to interest expense, denominator 1ldos_MinimumRatioOfEarningsBeforeInterestTaxesDepreciationAndAmortizationToInterestExpenseDenominator      
Fair value adjustment 15,000,000us-gaap_LiabilitiesFairValueAdjustment      
Gain on repurchase of notes 1,000,000us-gaap_GainLossOnRepurchaseOfDebtInstrument      
Revolving credit facility financial covenants description For a period of four trailing fiscal quarters, the Company maintains a ratio of consolidated funded debt, including borrowings under this facility, to EBITDA adjusted for other items as defined in the credit facility of not more than 4.0 to 1.0 until no later than January 29, 2016 and 3.75 to 1.0 thereafter, and a ratio of EBITDA adjusted for other items as defined in the credit facility to interest expense of greater than 3.5 to 1.0.      
Available borrowing capacity 500,000,000us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity      
Senior Notes        
Debt Instrument [Line Items]        
Repurchase and retirement of long term debt 28,000,000us-gaap_RepaymentsOfLongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
23,000,000us-gaap_RepaymentsOfLongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
   
Notes Which Mature In July 2033        
Debt Instrument [Line Items]        
Senior unsecured notes 181,000,000us-gaap_SeniorNotes
/ us-gaap_DebtInstrumentAxis
= ldos_NotesWhichMatureOnJulyTwoThousandThirtyThreeMember
182,000,000us-gaap_SeniorNotes
/ us-gaap_DebtInstrumentAxis
= ldos_NotesWhichMatureOnJulyTwoThousandThirtyThreeMember
   
Debt Instrument, Face Amount 300,000,000us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= ldos_NotesWhichMatureOnJulyTwoThousandThirtyThreeMember
     
Stated interest rate 5.50%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= ldos_NotesWhichMatureOnJulyTwoThousandThirtyThreeMember
     
Notes Which Mature In July 2033 | Senior Notes        
Debt Instrument [Line Items]        
Debt Instrument, repurchase amount 14,000,000us-gaap_DebtInstrumentRepurchaseAmount
/ us-gaap_DebtInstrumentAxis
= ldos_NotesWhichMatureOnJulyTwoThousandThirtyThreeMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
13,000,000us-gaap_DebtInstrumentRepurchaseAmount
/ us-gaap_DebtInstrumentAxis
= ldos_NotesWhichMatureOnJulyTwoThousandThirtyThreeMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
   
Notes Which Mature In December 2040        
Debt Instrument [Line Items]        
Senior unsecured notes 228,000,000us-gaap_SeniorNotes
/ us-gaap_DebtInstrumentAxis
= ldos_NotesWhichMatureOnDecemberTwoThousandFortyMember
232,000,000us-gaap_SeniorNotes
/ us-gaap_DebtInstrumentAxis
= ldos_NotesWhichMatureOnDecemberTwoThousandFortyMember
   
Debt Instrument, Face Amount 300,000,000us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= ldos_NotesWhichMatureOnDecemberTwoThousandFortyMember
     
Stated interest rate 5.95%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= ldos_NotesWhichMatureOnDecemberTwoThousandFortyMember
     
Notes Which Mature In December 2040 | Senior Notes        
Debt Instrument [Line Items]        
Debt Instrument, repurchase amount $ 15,000,000us-gaap_DebtInstrumentRepurchaseAmount
/ us-gaap_DebtInstrumentAxis
= ldos_NotesWhichMatureOnDecemberTwoThousandFortyMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
$ 11,000,000us-gaap_DebtInstrumentRepurchaseAmount
/ us-gaap_DebtInstrumentAxis
= ldos_NotesWhichMatureOnDecemberTwoThousandFortyMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember